When school finishes, Fayez decides to experiment with new hair lengths.

Currently, Fayez has a hair length of $H$ cm.

Whenever he visits his barber in the summer, his hair will be cut $S$ cm shorter.

He will visit his barber $Q$ times and wants to know his hair length after each haircut.

Can you help him?

Input Specification

The first line will contain $H$ $(100\le H\le 100000)$, the length of Fayez's hair initially.

The next will contain $S$ $(1\le S\le 1000)$, the length of hair trimmed off from each haircut.

The next line will contain $Q$ $(1\le Q\le \lfloor \frac{H-1}{S}\rfloor )$, the number of haircuts Fayez will get.

Output Specification

Output the length of Fayez's hair after each haircut in cm.

Sample Input

200
2
3

Sample Output

198
196
194